527052360 has 256 divisors, whose sum is σ = 1791590400. Its totient is φ = 123318272.

The previous prime is 527052353. The next prime is 527052367. The reversal of 527052360 is 63250725.

527052360 = T₁₀₈ + T₁₀₉ + ... + T₁₄₆₇.

It is an interprime number because it is at equal distance from previous prime (527052353) and next prime (527052367).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (527052367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2205121 + ... + 2205359.

It is an arithmetic number, because the mean of its divisors is an integer number (6998400).

Almost surely, 2^527052360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527052360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895795200).

527052360 is an abundant number, since it is smaller than the sum of its proper divisors (1264538040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

527052360 is a wasteful number, since it uses less digits than its factorization.

527052360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 527052360 is about 22957.6209568849. The cubic root of 527052360 is about 807.7641740623.

It can be divided in two parts, 5270 and 52360, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 527052360 in words is "five hundred twenty-seven million, fifty-two thousand, three hundred sixty".